Zobrazeno 1 - 10
of 16
pro vyhledávání: '"Oliver Buerschaper"'
Publikováno v:
New Journal of Physics, Vol 16, Iss 1, p 013015 (2014)
Here we investigate the connection between topological order and the geometric entanglement, as measured by the logarithm of the overlap between a given state and its closest product state of blocks. We do this for a variety of topologically ordered
Externí odkaz:
https://doaj.org/article/510547e96cc74d40845cba6e9b0ee9af
Autor:
Oliver Buerschaper
Publikováno v:
Annals of Physics. 351:447-476
We introduce a class of projected entangled pair states ( PEPS ) which is based on a group symmetry twisted by a 3-cocycle of the group. This twisted symmetry is expressed as a matrix product operator ( MPO ) with bond dimension greater than 1 and ac
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c105a98274c323a6ee407d170cab0cae
https://doi.org/10.1016/j.aop.2014.09.007
https://doi.org/10.1016/j.aop.2014.09.007
Publikováno v:
Nuclear Physics B, 876 (2)
We investigate the duality structure of quantum lattice systems with topological order, a collective order also appearing in fractional quantum Hall systems. We define electromagnetic (EM) duality for all of Kitaev's quantum double models based on di
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f61b262d838f9fb53e18cccc55ec81e0
https://doi.org/10.1016/j.nuclphysb.2013.08.014
https://doi.org/10.1016/j.nuclphysb.2013.08.014
Random quantum processes play a central role both in the study of fundamental mixing processes in quantum mechanics related to equilibration, thermalisation and fast scrambling by black holes, as well as in quantum process design and quantum informat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a78f4dda95f338ebae9a2546c10581cf
http://arxiv.org/abs/1606.01914
http://arxiv.org/abs/1606.01914
Autor:
Fernando Pastawski, Robert Koenig, Sumit Sijher, Oliver Buerschaper, John Preskill, Michael E. Beverland
We study restrictions on locality-preserving unitary logical gates for topological quantum codes in two spatial dimensions. A locality-preserving operation is one which maps local operators to local operators --- for example, a constant-depth quantum
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::946fbf9161ac4c6faa54dec2cf4badff
https://resolver.caltech.edu/CaltechAUTHORS:20141209-131847639
https://resolver.caltech.edu/CaltechAUTHORS:20141209-131847639
Tensor network states, and in particular projected entangled pair states, play an important role in the description of strongly correlated quantum lattice systems. They do not only serve as variational states in numerical simulation methods, but also
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b72626d35466d727c95bee302cdd2ac2
Here we show how the Minimally Entangled States (MES) of a 2d system with topological order can be identified using the geometric measure of entanglement. We show this by minimizing this measure for the doubled semion, doubled Fibonacci and toric cod
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8009866b6a5b7dc4dfc348ae57a6e266
Quantum dimer models typically arise in various low energy theories like those of frustrated antiferromagnets. We introduce a quantum dimer model on the kagome lattice which stabilizes an alternative $\mathbb{Z}_2$ topological order, namely the so-ca
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5b9ce4beced80f8ed6742ab29998297f
We propose a non-commutative extension of the Pauli stabilizer formalism. The aim is to describe a class of many-body quantum states which is richer than the standard Pauli stabilizer states. In our framework, stabilizer operators are tensor products
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::585cb8e95752fdb7b62f1bdad7fb311d
Topological order in a 2d quantum matter can be determined by the topological contribution to the entanglement R\'enyi entropies. However, when close to a quantum phase transition, its calculation becomes cumbersome. Here we show how topological phas
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7897bc5dc76b9bc642ff94755786d023